64057800 has 96 divisors (see below), whose sum is σ = 199853280. Its totient is φ = 16972800.

The previous prime is 64057793. The next prime is 64057813. The reversal of 64057800 is 875046.

It is a happy number.

64057800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 144379 + ... + 144821.

It is an arithmetic number, because the mean of its divisors is an integer number (2081805).

Almost surely, 2^64057800 is an apocalyptic number.

64057800 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64057800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99926640).

64057800 is an abundant number, since it is smaller than the sum of its proper divisors (135795480).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

64057800 is a wasteful number, since it uses less digits than its factorization.

64057800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 703 (or 694 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 64057800 is about 8003.6116847333. The cubic root of 64057800 is about 400.1203804344.

The spelling of 64057800 in words is "sixty-four million, fifty-seven thousand, eight hundred".